Quasi-isometries and ends of groups

DOI10.1016/0022-4049(93)90150-RzbMath0780.57001OpenAlexW2051501496MaRDI QIDQ2366052

Stephen G. Brick

Publication date: 29 June 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90150-r

zbMATH Keywords

simply connected at infinityfinitely presented groupssemi-stabilitysimple connectednesssemi-stable at infinityquasi-isometry invariantnumber of ends of a finitely generated group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60)

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Semistability of graph products ⋮ Two-ended quasi-transitive graphs ⋮ Topological tameness conditions of spaces and groups: results and developments ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Detecting sphere boundaries of hyperbolic groups ⋮ Semistability of cubulated groups ⋮ Local-to-asymptotic topology for cocompact CAT(0) complexes. ⋮ On the Whitehead nightmare and some related topics ⋮ Quasi-isometries and proper homotopy: The quasi-isometry invariance of proper $3$-realizability of groups ⋮ A topological equivalence relation for finitely presented groups ⋮ Relatively hyperbolic groups with semistable peripheral subgroups ⋮ Property FW and wreath products of groups: a simple approach using Schreier graphs

Cites Work

• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Semistability at ∞, ∞-Ended Groups and Group Cohomology
• On Dehn Functions and Products of Groups
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